a^2 + 1/a^2 = 2, then 1/a +a = ?

Given, 

a2 + 1/a2 = 2

By algebraic identities, we know;

(a+b)² = a² + b² + 2ab

(a + 1/a)² = a² + 1/a² + 2 ……….. (i)

Substitute a² + 1/a² = 2 in eq.(i)

(a + 1/a)² = 2 + 2

(a + 1/a)² = 4

a + 1/a = √4

1/a + a = 2

Hence, is the answer.

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